A triangle has the vertices labeled upper E upper F upper D. The height upper E upper F is labeled 15, the base upper D upper F is labeled 20, and the hypotenuse upper D upper E is labeled 25. Angle upper E measures 60 degrees and angle upper D measures 30 degrees.
Does the Pythagorean Theorem apply to this triangle? How do you know?
(1 point)
Responses
Yes, because you can use the Pythagorean Theorem on any triangle
Yes, because you can use the Pythagorean Theorem on any triangle
No, because the angle at point F is 90°.
No, because the angle at point cap f is 90 degrees .
No, because the triangle is not a right triangle.
No, because the triangle is not a right triangle.
Yes, because it is a right triangle.
1 answer
Yes, because it is a right triangle.
To determine whether the Pythagorean Theorem applies to a triangle, we need to check if the triangle is a right triangle (i.e., one of its angles measures 90 degrees). In this case, since the angle at point F is 90 degrees, the triangle is indeed a right triangle, and the Pythagorean Theorem can be used.
